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Finding the Third Proportional to 100,903.50 and 221,488

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Solution

The third proportional to 100,903.50 and 221,488 is: 486,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,903.50 : 221,488 = 221,488 : x
  2. Step 2: Convert to fraction form
    100,903.50/221,488 = 221,488/x
  3. Step 3: Cross multiply
    100,903.50x = 221,488 × 221,488
  4. Step 4: Simplify right side
    100,903.50x = 49,056,934,144
  5. Step 5: Solve for x
    x = 49,056,934,144/100,903.50
  6. Step 6: Final answer
    x = 486,176.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.